To be very honest, for someone with a decent amount of hours, and 5000 is quite decent, corporate flight ops (part 91 preferably) is probably your best best if considering moving into the US market. There are some good jobs there.
On the other hand, most majors won't be hiring for a very long time or at least not hiring much. American Airlines for instance, has over 2000 pilots on furlough and is yet to recall a single one. Notable exceptions who are still hiring (as of this post) are FEDEX, UPS and Southwest but as can be imagined the competion is stiff.